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Finding the Fourth Proportional to 20,551.78, 30,827.67 and 4,969.41

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Solution

The fourth proportional to 20,551.78, 30,827.67 and 4,969.41 is: 7,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.78 : 30,827.67 = 4,969.41 : x
  2. Step 2: Convert to fraction form
    20,551.78/30,827.67 = 4,969.41/x
  3. Step 3: Cross multiply
    20,551.78x = 30,827.67 × 4,969.41
  4. Step 4: Simplify right side
    20,551.78x = 153,195,331.57
  5. Step 5: Solve for x
    x = 153,195,331.57/20,551.78
  6. Step 6: Final answer
    x = 7,454.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.